20001845760 has 320 divisors, whose sum is σ = 69666791040. Its totient is φ = 4866048000.

The previous prime is 20001845753. The next prime is 20001845767. The reversal of 20001845760 is 6754810002.

It is an interprime number because it is at equal distance from previous prime (20001845753) and next prime (20001845767).

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (20001845767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8884635 + ... + 8886885.

It is an arithmetic number, because the mean of its divisors is an integer number (217708722).

Almost surely, 2^20001845760 is an apocalyptic number.

20001845760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20001845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34833395520).

20001845760 is an abundant number, since it is smaller than the sum of its proper divisors (49664945280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20001845760 is a wasteful number, since it uses less digits than its factorization.

20001845760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 20001845760 in words is "twenty billion, one million, eight hundred forty-five thousand, seven hundred sixty".